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dc.contributor.authorVellis, Vyron
dc.date.accessioned2016-03-22T06:53:17Z
dc.date.available2016-03-22T06:53:17Z
dc.date.issued2016
dc.identifier.citationVellis, V. (2016). Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres. <em>Analysis and Geometry in Metric Spaces</em>, 4 (1). <a href="http://dx.doi.org/10.1515/agms-2016-0002">doi:10.1515/agms-2016-0002</a>
dc.identifier.otherTUTKAID_69527
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/49145
dc.description.abstractLet Ω be a planar Jordan domain and α > 0. We consider double-dome-like surfaces Σ(Ω, t α ) over Ω where the height of the surface over any point x ∈ Ω equals dist(x, ∂Ω) α . We identify the necessary and su cient conditions in terms of Ω and α so that these surfaces are quasisymmetric to S 2 and we show that Σ(Ω, t α ) is quasisymmetric to the unit sphere S 2 if and only if it is linearly locally connected and Ahlfors 2-regular.
dc.language.isoeng
dc.publisherDe Gruyter Open
dc.relation.ispartofseriesAnalysis and Geometry in Metric Spaces
dc.subject.otherquasisymmetric spheres
dc.subject.otherdouble-dome-like surfaces
dc.subject.otherchord-arc property
dc.subject.otherAhlfors 2-regularity
dc.titleWeak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201603211907
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikka
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-03-21T13:15:04Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.relation.issn2299-3274
dc.relation.volume4
dc.type.versionpublishedVersion
dc.rights.copyright© 2016 Vyron Vellis, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.rights.accesslevelopenAccessfi
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/3.0/
dc.relation.doi10.1515/agms-2016-0002


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© 2016 Vyron Vellis, published by De Gruyter Open.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
Except where otherwise noted, this item's license is described as © 2016 Vyron Vellis, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.